Math Problem Statement
Write an equivalent expression without negative exponents and, if possible, simplify.
18 x Superscript negative 118x−1
Question content area bottom
Part 1
Select the correct choice and fill in the answer box(es) to complete your choice.
(Simplify your answer. Type exponential notation with positive exponents. Use integers or fractions for any numbers in the expression.)
A.
The expression
18 x Superscript negative 118x−1
expressed using positive exponents is
enter your response here.
This cannot be simplified further.
B.
The expression
18 x Superscript negative 118x−1
expressed using positive exponents is
enter your response here.
This can be simplified to
enter your response here.
Solution
Let's rewrite the given expression:
18x⁻¹
Step 1: Rewrite with Positive Exponents
To eliminate the negative exponent, recall that:
Thus,
Step 2: Check for Simplification
Since there's nothing else to factor or reduce, this is the simplest form.
Final Answer:
- Choice A: The expression expressed using positive exponents is . This cannot be simplified further.
Would you like any further explanation on exponents or simplification steps?
Here are 5 related questions you might find useful:
- How do you simplify expressions with multiple negative exponents?
- What is the rule for multiplying terms with exponents?
- How do you simplify fractions with exponents in both the numerator and denominator?
- What happens when you raise a power to another power?
- How do you handle expressions with both negative and fractional exponents?
Tip: When dealing with negative exponents, remember they represent reciprocals!
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Negative Exponents
Formulas
x⁻¹ = 1/x
Theorems
Negative exponent rule
Suitable Grade Level
Grades 7-9